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Finding the Third Proportional to 410,064 and 887,521

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Solution

The third proportional to 410,064 and 887,521 is: 1,920,903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,064 : 887,521 = 887,521 : x
  2. Step 2: Convert to fraction form
    410,064/887,521 = 887,521/x
  3. Step 3: Cross multiply
    410,064x = 887,521 × 887,521
  4. Step 4: Simplify right side
    410,064x = 787,693,525,441
  5. Step 5: Solve for x
    x = 787,693,525,441/410,064
  6. Step 6: Final answer
    x = 1,920,903.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.